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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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M. E. Alonso , E. Becker , M.-F. Roy , T. Wörmann, Zeros, multiplicities, and idempotents for zero-dimensional systems, Algorithms in algebraic geometry and applications, Birkhauser Verlag, Basel, Switzerland, 1996
|
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2
|
AIJBRY. P. Ensemble, s triangulaircs de polyn~rnes et r~~sol'ution de syst~rnes algdbriques. Implantation en Axiom. PhD thesis, Univ. Paris VI, 1999.
|
| |
3
|
E. Becker , J. P. Cardinal , M.-F. Roy , Z. Szafraniec, Multivariate Bezoutians, Kronecker symbol and Eisenbud-Levine formula, Algorithms in algebraic geometry and applications, Birkhauser Verlag, Basel, Switzerland, 1996
|
| |
4
|
|
| |
5
|
BEI~ENSTEIN, C., GAY, R., VIDRAS. A., AND YGER, A. Residue Currents and Bezout Identities, vol. 114 of Prog. in Math.. Birkh~iuser. 1993.
|
| |
6
|
BERENSTEIN, C.~ AND YGER, A. Residue calculus and Effective Nullstellensatz. Amer. J. Math., 121 (1999).
|
| |
7
|
Bp;ZOUT, E. Th.dor'i~; Gdndr'ale de.~ Equations Algdbriques. Paris, 1779.
|
| |
8
|
Busl~. L., EI.K..XDI, M., AND h:IoUnnAIN, B. Generalized resultant over an algebraic variety. Sul)mitted, 1999.
|
| |
9
|
|
| |
10
|
CAnt),YAL, J., AND M()I:RRAIN, B. Algebraic approach of residues and applications. In Proc. AMS-SIA M Surrtmer Seminar on Math. of Numerical Analysis, (Park City, Utah, 1995) (1996), J. Renegar, M. Shub, and S. Smale, E(ts., vol. 32 of Lectures in Applied Math., Am. Math. Soc. Press, pp. 189-210.
|
| |
11
|
CIJARDIN, M. Multivariate sul)resultants. J. Pure and Appl. Alg. 101 (1995), 129-138.
|
| |
12
|
C, HISTOV, A. Algorithm of polynomial complexity for factoring polynomials and finding the components of va.rieties ill subexl)oncntial time. J. Soy. Math 3~, 4 (1986), 1838 1882.
|
| |
13
|
ELKADI. h{., AND h'IOLIRItAIN. B. Approche effective des r6sidus alg6briques. Rapport de Rectmrche 2884, INRIA, 1996.
|
| |
14
|
ELKAD1, h:1.. AND I~'IOURRAIN, B. Sonl(.' applications of Bezoutians in effe(:tive algebraic geometry. Rapport de Recherche 3572, INRIA, 1998.
|
| |
15
|
ELKADI, M.. AND MOURRAIN, B. Algorithms for residues and Lojasicwicz exponents. J. of Pure and Applied Algebra (1999). To appear.
|
| |
16
|
FITC.IIAS, N., GIUSTI, h'I., AND SMIETANSKI, h,~. Sur la complexit du thorme des zros. In Proc. of the second. Int. Conf. on Approximation and Optimization (La Hitbana, 1993), J. Gudatt, Ed., Peter Lang Verlag, pp. 274--329.
|
| |
17
|
GALLO. G., AND h'IlSHl~A, B. Efficient Algorithms and Bounds for Wu-Ritt Characteristic Sets. In Effective Mcthod.s in Algebraic Geometry (MEGA '90) (1991), vol. 94 of Progress in Math., Birkhuser. pp. 119-142.
|
| |
18
|
GELFAND, I.: KAPR.ANOV, h.{., AND ZELEVINSKY, A. Discriminants, Resultants and Multidimensional Determinants. Birkhiiuser, Boston-Basel-Berlin, 1994.
|
| |
19
|
|
| |
20
|
GIUSTI, M.. ANi) HV:IN'I'Z, J. Algorithmes- disons rapides- pour la ddcomposition d'une vari~t(~ alg5brique en composantes irrOductibles et ~quidiinensionimlles. In Effective Methods in Algebraic Geometry (MEGA'90) (1991), vol. 9-1 of Progress in Math., Birkhuser, pp. 169- 193.
|
| |
21
|
GIUSTI, M., AND HEIN'rZ, J. La ddtermination des points isolds et de la dimension d'une w~ri~t~5 algP.brique peut se faire en tenlps polynomial, hi Proc Int. Meeting on Commutative Algebra (Cortona,1991), vol. XXXIV of Syrup. Mathematica, pp. 216-255.
|
| |
22
|
GRIc, oPo,'Ev, D. Factorization of polynomials over finite field and the solution of systems of algebraic equations. ,1. Soy. Math 34, 4 (1986), 1762 1803.
|
| |
23
|
HABSIEGER., L. Stir un problbme combinatoire. Cominunication personncllc, 1998.
|
| |
24
|
|
| |
25
|
|
| |
26
|
KUNZ, E. Kiihler differentials. Advanced lectures in Mathematics. Friedr. Vieweg a.nd Sohn, 1986.
|
| |
27
|
|
| |
28
|
h'IACAULAY, F. On the Resolution of a given Modular Syst, em into Primary Systems Including some Properties of Hilbert Numbers. Proc. London Math. Soc. (1912), 66--121.
|
| |
29
|
MATSUMURA, H. Commutative Algebra. Mathematics Le(:ture Notes Series. The Benjainin/Cummings Publishing Company, 1980.
|
| |
30
|
|
| |
31
|
|
| |
32
|
P~OUILLIEtt, F. Algorithmes e fficaces pour l'dtude des zdros rdels des syst~mes polynomiaux. PhD thesis, UniversitY, de Relines, 1996.
|
| |
33
|
SABIA, J., ANI) SOI.~:RNO, P. Bounds for traces in complete intersections and degrees in the Nullstellenstaz. AAECC-6 948 (1995), 353--376.
|
| |
34
|
SCHE.IA, G., AND STORCH, U. i)ber Spurfunktionen bei vollst~ndigen Durschnitten. ,l. Reine Angew Mathematik 278 (1975), 174-190.
|
| |
35
|
Wolmer V. Vasconcelos , Daniel R. Grayson , Michael Stillman , David Eisenbud , Jüurgen Herzog, Computational methods in commutative algebra and algebraic geometry, Springer-Verlag New York, Inc., Secaucus, NJ, 1997
|
| |
36
|
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